Problem

14 Denise marked and labeled $5.3,6 \frac{7}{10}, 5.8$, and $6 \frac{1}{2}$ on a number line.
Which number did Denise mark and label closest to 6 ?
F $6 \frac{1}{2}$
G 5.3
H 5.8
J $6 \frac{7}{10}$

Answer

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Answer

Final Answer: The number Denise marked and labeled closest to 6 is \(\boxed{5.8}\) (H).

Steps

Step 1 :The question is asking which number is closest to 6. We can solve this by calculating the absolute difference between each number and 6, then finding the smallest difference.

Step 2 :Calculate the absolute difference between each number and 6: \(|5.3 - 6| = 0.7, |6.7 - 6| = 0.7, |5.8 - 6| = 0.2, |6.5 - 6| = 0.5\)

Step 3 :Find the smallest difference: The smallest difference is 0.2, which corresponds to the number 5.8

Step 4 :Final Answer: The number Denise marked and labeled closest to 6 is \(\boxed{5.8}\) (H).

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